Réitigh (1+1.5%)^12-1/15%

$$\frac { ( 1 + 1.5 \% ) ^ { 12 } - 1 } { 15 \% }$$

Luacháil

$$1.3041211430769016770752673193359375$$

Céimeanna Réitigh

Fairsingigh \frac{1.5}{100} tríd an t-uimhreoir agus an t-ainmneoir araon a iolrú faoi 10.

$$\frac{\left(1+\frac{15}{1000}\right)^{12}-1}{\frac{15}{100}}$$

Laghdaigh an codán \frac{15}{1000} chuig na téarmaí is ísle trí 5 a bhaint agus a chealú.

$$\frac{\left(1+\frac{3}{200}\right)^{12}-1}{\frac{15}{100}}$$

Suimigh 1 agus \frac{3}{200} chun \frac{203}{200} a fháil.

$$\frac{\left(\frac{203}{200}\right)^{12}-1}{\frac{15}{100}}$$

Ríomh cumhacht \frac{203}{200} de 12 agus faigh \frac{4897252030306448390395044241}{4096000000000000000000000000}.

$$\frac{\frac{4897252030306448390395044241}{4096000000000000000000000000}-1}{\frac{15}{100}}$$

Dealaigh 1 ó \frac{4897252030306448390395044241}{4096000000000000000000000000} chun \frac{801252030306448390395044241}{4096000000000000000000000000} a fháil.

$$\frac{\frac{801252030306448390395044241}{4096000000000000000000000000}}{\frac{15}{100}}$$

Laghdaigh an codán \frac{15}{100} chuig na téarmaí is ísle trí 5 a bhaint agus a chealú.

$$\frac{\frac{801252030306448390395044241}{4096000000000000000000000000}}{\frac{3}{20}}$$

Roinn \frac{801252030306448390395044241}{4096000000000000000000000000} faoi \frac{3}{20} trí \frac{801252030306448390395044241}{4096000000000000000000000000} a mhéadú faoi dheilín \frac{3}{20}.

$$\frac{801252030306448390395044241}{4096000000000000000000000000}\times \frac{20}{3}$$

Méadaigh \frac{801252030306448390395044241}{4096000000000000000000000000} agus \frac{20}{3} chun \frac{267084010102149463465014747}{204800000000000000000000000} a fháil.

$$\frac{267084010102149463465014747}{204800000000000000000000000}$$

Fachtóirigh

$$\frac{3 \cdot 13 \cdot 19 \cdot 31 \cdot 73 \cdot 281 \cdot 2137 \cdot 40609 \cdot 22600297 \cdot 17 ^ {2}}{2 ^ {34} \cdot 5 ^ {23}} = 1\frac{6.228401010214945 \times 10^{25}}{2.0479999999999996 \times 10^{26}} = 1.3041211430769017$$